Density i

mass

volume of metal

final water volume

step 1
use the metal’s density as a conversion factor to convert from mass (in units of grams) to volume (in units of milliliters).

step 2
the metal displaces its volume in the water so the water level rises by that volume. the final volume is determined by adding the initial volume and the volume of the metal.

you have a 100.0-ml graduated cylinder containing 50.0 ml of water. you carefully place a 151-g piece of brass (density = 8.56 g/ml) into the water. what is the final volume reading in the graduated cylinder?

ml

what is the volume that 151 g of brass occupies?

ml

if the brass displaces this volume of water, what is the final volume in the cylinder?

volume brass = 17.6 ml

ml

Final reading of the graduated cylinder = 67.64 mL

Volume occupied by the brass = 17.64 mL

final volume in the cylinder = 32.36 mL

Explanation:

Given:

Volume of graduated cylinder = 100.0 mL

Volume of water in the graduated cylinder = 50.0 mL

Mass of the piece of brass = 151 g

Density of brass = 8.56 g/mL

Now,

Volume of the brass =

or

Volume of the brass =

or

Volume of the brass = 17.64 mL

Hence,

final reading of the graduated cylinder = Volume of water + Volume of brass

or

the final reading of the graduated cylinder = 50 mL + 17.64 mL = 67.64 mL

Volume occupied by the brass = 17.64 mL

If the brass displaces this volume of water

then the final volume in the cylinder = Volume of water - volume of brass

= 50.00 - 17.64

= 32.36 mL

your answer is c) plasma

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